Abstract
A transformative decision rule alters the representation of a decision problem, either by changing the set of alternative acts or the set of states of the world taken into consideration, or by modifying the probability or value assignments. A set of transformative decision rules is order-independent in case the order in which the rules are applied is irrelevant. The main result of this paper is an axiomatic characterization of order-independent transformative decision rules, based on a single axiom. It is shown that the proposed axiomatization resolves a problem observed by Teddy Seidenfeld in a previous axiomatization by Peterson.
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Peterson, M., Hansson, S.O. (2005). Order-Independent Transformative Decision Rules. In: Uncertainty, Rationality, and Agency. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4631-6_9
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DOI: https://doi.org/10.1007/1-4020-4631-6_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4630-8
Online ISBN: 978-1-4020-4631-5
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